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41256166165214 = 271113115328516269
BaseRepresentation
bin10010110000101101100110…
…01000010000101011011110
312102002001101011011221102012
421120112303020100223132
520401420112014241324
6223424453204431222
711455442154215420
oct1130266310205336
9172061334157365
1041256166165214
1112166707288420
12476387a6a8512
131a03594259950
14a28b48238810
154b827a7a920e
hex2585b3210ade

41256166165214 has 128 divisors (see below), whose sum is σ = 83203844613120. Its totient is φ = 14816950272000.

The previous prime is 41256166165183. The next prime is 41256166165219.

41256166165214 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41256166165219) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6580977272 + ... + 6580983540.

It is an arithmetic number, because the mean of its divisors is an integer number (650030036040).

Almost surely, 241256166165214 is an apocalyptic number.

41256166165214 is an abundant number, since it is smaller than the sum of its proper divisors (41947678447906).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41256166165214 is a wasteful number, since it uses less digits than its factorization.

41256166165214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10306.

The product of its digits is 2073600, while the sum is 50.

The spelling of 41256166165214 in words is "forty-one trillion, two hundred fifty-six billion, one hundred sixty-six million, one hundred sixty-five thousand, two hundred fourteen".

Divisors: 1 2 7 11 13 14 22 26 77 91 143 154 182 286 1001 1153 2002 2306 2851 5702 6269 8071 12538 12683 14989 16142 19957 25366 29978 31361 37063 39914 43883 62722 68959 74126 81497 87766 88781 104923 137918 162994 164879 177562 209846 219527 259441 329758 407693 439054 482713 518882 570479 815386 896467 965426 1140958 1154153 1792934 2308306 2853851 3287203 5707702 6275269 6574406 7228157 12550538 14456314 17872919 23010421 35745838 36159233 42733639 46020842 50597099 72318466 79509727 85467278 93966041 101194198 125110433 159019454 187932082 196602109 232347947 250220866 253114631 299135473 393204218 464695894 470070029 506229262 556568089 598270946 657762287 940140058 1033626451 1113136178 1315524574 1376214763 1626435629 2067252902 2555827417 2752429526 3252871258 3290490203 5111654834 6580980406 7235385157 14470770314 17890791919 20607475607 35781583838 41214951214 144252329249 226682231677 267897182891 288504658498 453364463354 535794365782 1586775621739 1875280280237 2946869011801 3173551243478 3750560560474 5893738023602 20628083082607 41256166165214